Eigenvectors and Eigenvalues

Rami Shakarchi

Chapter Chapter VIII in Solutions Manual for Lang’s Linear Algebra, 1996, pp 117-153 from Springer

Abstract: Abstract Let a ∈ and a ≠0. Prove that the eigenvectors of the matrix $$ \left( {\begin{array}{*{20}c} 1 & a \\ 0 & 1 \\ \end{array} } \right) $$ generate a 1-dimensional space, and give a basis for this space.

Keywords: Characteristic Polynomial; Orthogonal Basis; Symmetric Operator; Distinct Eigenvalue; Spectral Theorem (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4612-0755-9_8

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